A normal distribution is a very important statistical data distribution pattern occurring in many natural phenomena, such as height, longevity of a member of a population e.g. human being.s For this discussion we are focused on the life cycle of Cryptocaryon irritans, otherwise known as marine ich. Certain data, when graphed as a histogram (data on the horizontal axis, amount of data on the vertical axis), creates a bell-shaped curve known as a normal curve, or normal distribution.
Normal distributions are symmetrical with a single central peak at the mean (average) of the data. The shape of the curve is described as bell-shaped with the graph falling off evenly on either side of the mean. Fifty percent of the distribution lies to the left of the mean and fifty percent lies to the right of the mean. The average life cycle of Cryptocaryon irritans is 3 weeks.
The spread of a normal distribution is controlled by the standard deviation. The smaller the standard deviation the more concentrated the data. Unfortunately, there is no published value for the standard deviation of the life cycle of Cryptocaryon irritans.
If you look at the percentages of population members within a standard deviation of the mean, we see that approximately 19.1% of normally distributed data is located between the mean (the peak) and 0.5 standard deviations to the right (or left) of the mean. For Cryptocaryon irritans, we are going to assume that 68% of the members lie within one standard deviation of the mean.
If you add percentages, you will see that approximately:
"¢ 68% of the distribution lies within one standard deviation of the mean.
"¢ 95% of the distribution lies within two standard deviations of the mean.
"¢ 99.7% of the distribution lies within three standard deviations of the mean.
These percentages are known as the "empirical rule". What this means for Cryptocaryon irritans is that leaving a tank fallow for 3 weeks will give you a 68% chance that you have eradicated the parasite, leaving a tank fallow for 6 weeks will give you a 95% chance of eradication, but if you want 99.7% chance, you will leave the tank fallow for 9 weeks. That is the reason you see different numbers being used on Reef Central and in the literature.
I see confusion when different numbers are used for the required fallow period to make sure you tank is ich free. Perhaps this will clarify. Or not!

Normal distributions are symmetrical with a single central peak at the mean (average) of the data. The shape of the curve is described as bell-shaped with the graph falling off evenly on either side of the mean. Fifty percent of the distribution lies to the left of the mean and fifty percent lies to the right of the mean. The average life cycle of Cryptocaryon irritans is 3 weeks.
The spread of a normal distribution is controlled by the standard deviation. The smaller the standard deviation the more concentrated the data. Unfortunately, there is no published value for the standard deviation of the life cycle of Cryptocaryon irritans.
If you look at the percentages of population members within a standard deviation of the mean, we see that approximately 19.1% of normally distributed data is located between the mean (the peak) and 0.5 standard deviations to the right (or left) of the mean. For Cryptocaryon irritans, we are going to assume that 68% of the members lie within one standard deviation of the mean.
If you add percentages, you will see that approximately:
"¢ 68% of the distribution lies within one standard deviation of the mean.
"¢ 95% of the distribution lies within two standard deviations of the mean.
"¢ 99.7% of the distribution lies within three standard deviations of the mean.
These percentages are known as the "empirical rule". What this means for Cryptocaryon irritans is that leaving a tank fallow for 3 weeks will give you a 68% chance that you have eradicated the parasite, leaving a tank fallow for 6 weeks will give you a 95% chance of eradication, but if you want 99.7% chance, you will leave the tank fallow for 9 weeks. That is the reason you see different numbers being used on Reef Central and in the literature.
I see confusion when different numbers are used for the required fallow period to make sure you tank is ich free. Perhaps this will clarify. Or not!
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